Answer:
D. 2(√34 + √106)
Step-by-step explanation:
1) Find the hypotenuse of a larger triangle infused in the kite since perimeter means the boundary of a shape. To do so, we need to apply the Pythagoras Theorem.
c² = a² + b²
c² = 5² + 9²
c² = 25 + 81
c² = 106
c = √106
2) Find the hypotenuse of the a smaller triangle infused in the kite.
c² = a² + b²
c² = 3² + 5²
c² = 9 + 25
c² = 34
c = √34
3) Apply the the formula for the perimeter of a kite; 2(a + b), where a is the smaller triangle and b is the larger triangle or vice versa.
= 2(√34 + √106)
